K13n3154
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Polynomial invariants
| Jones polynomial | Data:K13n3154/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-10 t^3+21 t^2-24 t+23-24 t^{-1} +21 t^{-2} -10 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n3154/Conway Polynomial |
| Determinant | 137 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} +z^8 a^{-6} -z^6 a^{-2} +4 z^6 a^{-4} +4 z^6 a^{-6} -z^6 a^{-8} -3 z^4 a^{-2} +5 z^4 a^{-4} +3 z^4 a^{-6} -4 z^4 a^{-8} -z^2 a^{-2} +6 z^2 a^{-4} -2 z^2 a^{-6} -2 z^2 a^{-8} +z^2 a^{-10} +4 a^{-4} -4 a^{-6} + a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-5} +3 z^{11} a^{-7} +7 z^{10} a^{-4} +13 z^{10} a^{-6} +6 z^{10} a^{-8} +7 z^9 a^{-3} -3 z^9 a^{-7} +4 z^9 a^{-9} +4 z^8 a^{-2} -23 z^8 a^{-4} -51 z^8 a^{-6} -23 z^8 a^{-8} +z^8 a^{-10} +z^7 a^{-1} -25 z^7 a^{-3} -31 z^7 a^{-5} -16 z^7 a^{-7} -11 z^7 a^{-9} -14 z^6 a^{-2} +15 z^6 a^{-4} +65 z^6 a^{-6} +39 z^6 a^{-8} +3 z^6 a^{-10} -3 z^5 a^{-1} +22 z^5 a^{-3} +46 z^5 a^{-5} +36 z^5 a^{-7} +19 z^5 a^{-9} +4 z^5 a^{-11} +11 z^4 a^{-2} +5 z^4 a^{-4} -24 z^4 a^{-6} -23 z^4 a^{-8} -4 z^4 a^{-10} +z^4 a^{-12} +z^3 a^{-1} -7 z^3 a^{-3} -19 z^3 a^{-5} -18 z^3 a^{-7} -12 z^3 a^{-9} -5 z^3 a^{-11} -3 z^2 a^{-2} -10 z^2 a^{-4} -6 z^2 a^{-6} +3 z^2 a^{-8} +z^2 a^{-10} -z^2 a^{-12} +z a^{-3} +2 z a^{-9} +z a^{-11} +4 a^{-4} +4 a^{-6} + a^{-8} }[/math] |
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